6901142605344 has 576 divisors, whose sum is σ = 22549666688640. Its totient is φ = 2065222241280.

The previous prime is 6901142605327. The next prime is 6901142605411. The reversal of 6901142605344 is 4435062411096.

6901142605344 is a `hidden beast` number, since 6 + 9 + 0 + 1 + 1 + 4 + 2 + 605 + 34 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6901142605344.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2726645359 + ... + 2726647889.

It is an arithmetic number, because the mean of its divisors is an integer number (39148726890).

Almost surely, 2^{6901142605344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6901142605344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11274833344320).

6901142605344 is an abundant number, since it is smaller than the sum of its proper divisors (15648524083296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6901142605344 is an equidigital number, since it uses as much as digits as its factorization.

6901142605344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 6901142605344 in words is "six trillion, nine hundred one billion, one hundred forty-two million, six hundred five thousand, three hundred forty-four".